Re: How to Invert Rows and Columns for a Grid of List of Lists

*To*: mathgroup at smc.vnet.net*Subject*: [mg125933] Re: How to Invert Rows and Columns for a Grid of List of Lists*From*: Bob Hanlon <hanlonr357 at gmail.com>*Date*: Sat, 7 Apr 2012 06:00:27 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*References*: <201204061002.GAA23061@smc.vnet.net>

a = {{1, 2, 3}, {4, 5, 6}, {7, 8, 9}}; b = {{1, 4, 7}, {2, 5, 8}, {3, 6, 9}}; rules = Thread[Flatten /@ (a -> b)] {1 -> 1, 2 -> 4, 3 -> 7, 4 -> 2, 5 -> 5, 6 -> 8, 7 -> 3, 8 -> 6, 9 -> 9} (a /. rules) == b True Bob Hanlon On Fri, Apr 6, 2012 at 6:02 AM, <brtubb at pdmusic.org> wrote: > Consider two lists > > a = {{1,2,3},{4,5,6},{7,8,9}}; > b = {{1,4,7},{2,5,8},{3,6,9}}; > > I want to transform a "into" b for use in a project for displaying chord diagrams in a GraphicsGrid. the list values will be used to indicate ArrayPlot scale fingering "dots" for any given tuning. The Riffle function would seem to be the most likely candidate, other than a "brute force" user defined function to do a rules table. >

**References**:**How to Invert Rows and Columns for a Grid of List of Lists***From:*brtubb@pdmusic.org